Energy and angular momentum of general 4-dimensional stationary axi-symmetric spacetime in teleparallel geometry
Abstract
We derive an exact general axi-symmetric solution of the coupled gravitational and electromagnetic fields in the tetrad theory of gravitation. The solution is characterized by four parameters M (mass), Q (charge), a (rotation) and L (NUT). We then, calculate the total exterior energy using the energy-momentum complex given by Mller in the framework of Weitzenbock geometry. We show that the energy contained in a sphere is shared by its interior as well as exterior. We also calculate the components of the spatial momentum to evaluate the angular momentum distribution. We show that the only non-vanishing components of the angular momentum is in the Z direction.
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